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3D Trigonometry - Cubes and Prisms WORKSHEET
Suitable for Grades: Geometry, IM 2
CCSS: HSG.SRT.C.8, HSG.SRT.D.11
CCSS Description: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
3D Trigonometry - Cubes and Prisms WORKSHEET DESCRIPTION
This worksheet provides a series of exercises focused on applying trigonometry in cuboids and provides an excellent, guided introduction to applying trigonometry in 3D shapes in general, especially for students who struggle with spatial reasoning.
To begin with, learners will find different angles and diagonal lengths on the surface of cubes, considering which right angled triangles can be seen and used on the shapes. Students will progress to calculating more abstract lengths and angles within cubes and we have highlighted useful triangles as scaffolding.
The same steps are followed to boost students' confidence as they begin to calculate lengths and angles in cuboids.
